Theorems · Definition · field theory
Polynomial.support
{R : Type u} → [inst : Semiring R] → Polynomial R → Finset ℕThe set of all n such that X^n has a non-zero coefficient.
- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 237 results in Mathlib
- Foundations
- Depth 13 from the axioms, rests on 94 definitions · uses no axioms
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Finsetstatement and proof · cited by 13,712
- Polynomialstatement and proof · cited by 5,681
- Finsupp.supportproof · cited by 828
- AddMonoidAlgebraproof · cited by 649
- AddMonoidAlgebra.coeffproof · cited by 365
Cited by249
Results whose statement or proof uses this declaration.
- Polynomial.degreeproof · cited by 643
- Polynomial.coeff_mapproof · cited by 114
- Polynomial.sumproof · cited by 67
- Polynomial.scaleRootsproof · cited by 56
- Polynomial.coeffsproof · cited by 41
- Polynomial.contentproof · cited by 41
- Polynomial.trailingDegreeproof · cited by 39
- Polynomial.mem_support_iffstatement · cited by 30
- Polynomial.induction_onproof · cited by 23
- Polynomial.degree_negproof · cited by 21
- Polynomial.gaussNormproof · cited by 20
- Polynomial.coeff_scaleRootsproof · cited by 20
Showing the 200 most cited of 249.